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The largest side in a right-angled triangle is
The largest side in a right-angled triangle is a hypotenuse.
A man goes 10 m to the east and then 24 m to the north. Find the distance from the start point.
The man makes a right angle when moving from east to west.
So, the distance covered will be a hypotenuse
By Pythagoras theorem, hyptonenuse2 = base2 + perpendicular2 = (10)2 + (24)2
= 26
A ladder 25 m long touches a window of a building 20 m above the ground. Determine the distance of the foot of the ladder from the building.
The ladder and the wall form a right-angled triangle.
The ladder is the hypotenuse = 25 m; height of the window is 20 m
By Pythagoras theorem,
hyptonenuse2 = base2 + perpendicular2 252 = (x)2 + (24)2x2 = 625 - 576 = 49
∴ x = 7
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